I do believe that this is generally true across most populations. An example would be that of people in the workplace. Male leaders are usually more likely to "report" instructions to their subordinates. They generally give instructions that do not take into account the subordinates' wishes in a significant way. When women are in positions of power, they are more likely to care about the subordinates' thinking or feelings. This can lead to better outcomes, as well as worse ones, depending on the situation.
Another example is parenting. In general, women are more likely to want to build "rapport" with their children through communication. On the other hand, fathers are more likely to communicate information as a "report," and bond in other, less communicative ways.
I do believe that the way people speak changes over their lifetime. Both men and women are more concerned with "rapport" in their early life, particularly in childhood and during their teenage years. The differences in communication between the two genders, however, becomes clearer afterwards.